Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems
This paper deals with the problem of pseudo-state sliding mode control of fractional SISO nonlinear systems with model inaccuracies. Firstly, a stable fractional sliding mode surface is constructed based on the Routh-Hurwitz conditions for fractional differential equations. Secondly, a sliding mode...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/918383 |
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| _version_ | 1832562918915309568 |
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| author | Bao Shi Jian Yuan Chao Dong |
| author_facet | Bao Shi Jian Yuan Chao Dong |
| author_sort | Bao Shi |
| collection | DOAJ |
| description | This paper deals with the problem of pseudo-state sliding mode
control of fractional SISO nonlinear systems with model inaccuracies. Firstly,
a stable fractional sliding mode surface is constructed based on the Routh-Hurwitz conditions for fractional differential equations. Secondly, a sliding
mode control law is designed using the theory of Mittag-Leffler stability. Further,
we utilize the control methodology to synchronize two fractional chaotic
systems, which serves as an example of verifying the viability and effectiveness
of the proposed technique. |
| format | Article |
| id | doaj-art-f3dd1573a59a4616b1e49f7448c8b25f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-f3dd1573a59a4616b1e49f7448c8b25f2025-02-03T01:21:29ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/918383918383Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear SystemsBao Shi0Jian Yuan1Chao Dong2Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaInstitute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai, Shandong 264001, ChinaThis paper deals with the problem of pseudo-state sliding mode control of fractional SISO nonlinear systems with model inaccuracies. Firstly, a stable fractional sliding mode surface is constructed based on the Routh-Hurwitz conditions for fractional differential equations. Secondly, a sliding mode control law is designed using the theory of Mittag-Leffler stability. Further, we utilize the control methodology to synchronize two fractional chaotic systems, which serves as an example of verifying the viability and effectiveness of the proposed technique.http://dx.doi.org/10.1155/2013/918383 |
| spellingShingle | Bao Shi Jian Yuan Chao Dong Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems Advances in Mathematical Physics |
| title | Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems |
| title_full | Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems |
| title_fullStr | Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems |
| title_full_unstemmed | Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems |
| title_short | Pseudo-State Sliding Mode Control of Fractional SISO Nonlinear Systems |
| title_sort | pseudo state sliding mode control of fractional siso nonlinear systems |
| url | http://dx.doi.org/10.1155/2013/918383 |
| work_keys_str_mv | AT baoshi pseudostateslidingmodecontroloffractionalsisononlinearsystems AT jianyuan pseudostateslidingmodecontroloffractionalsisononlinearsystems AT chaodong pseudostateslidingmodecontroloffractionalsisononlinearsystems |